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Finding the Fourth Proportional to 288.03, 397.01 and 177.26

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Solution

The fourth proportional to 288.03, 397.01 and 177.26 is: 244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.03 : 397.01 = 177.26 : x
  2. Step 2: Convert to fraction form
    288.03/397.01 = 177.26/x
  3. Step 3: Cross multiply
    288.03x = 397.01 × 177.26
  4. Step 4: Simplify right side
    288.03x = 70,373.94
  5. Step 5: Solve for x
    x = 70,373.94/288.03
  6. Step 6: Final answer
    x = 244.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.